三维各向异性重力正演模型的高阶展开项评估
Evaluation on High-Degree Series Expansion of the 3-D Isotropic Forward Gravity Field Modelling
DOI: 10.12677/AG.2018.83054, PDF,    国家自然科学基金支持
作者: 肖翼忻, 霍学深：武汉大学测绘学院，武汉；申文斌*：武汉大学测绘学院，武汉；武汉大学测绘遥感国家重点实验室，武汉
关键词: 重力正演；球谐分析；地壳结构模型；级数展开；Forward Modelling； Spectral Analysis； Crustal Structure； Series Expansion
摘要: 全球范围地表浅层质量分布的重力正演，在计算评估布格异常、地壳均衡补偿、超高精度地球重力场构建及地球内部结构反演时具有重要意义。本文在考虑质量分布的三维各向异性的重力正演方法的基础上，考察GEMMA地壳结构模型下各个大地构造分区的重力正演各阶结果对总体重力正演结果的贡献率。以仅考虑重力正演算法的误差因素的影响量级为0.1 mGal精度为判断准则，通过考察在空域下各个大地构造分区按照级数展开阶数的结果与总体重力正演的结果的差值，结果表明，其中地壳厚度较浅的大地构造分区(洋壳、大洋中脊)所需截断阶次为6阶，而地壳厚度较厚的大地构造分区(造山带、盆地、火成岩省、地盾、地台)所需截断阶次为12阶。
Abstract: The global gravity forward modelling of the shallow layer mass distribution is of vital importance in the computation of Bouguer anomaly, isostatic compensation and ultra-high resolution Earth’s gravity field. In this paper, based on the 3-D isotropic gravity forward modelling method, the contribution of each expansion power to the overall resultant forward modelling gravity in each geological province of GEMMA crustal model is further investigated. Consequently, based on the discrepancy of individual binominal expansion of each geological province and the overall resultant forward modelling gravity, for the accuracy criterion of 0.1 mGal, if considering only the influence of forward modelling method, the truncation degree/order of geological provinces with shallower crust is 6, while the one with thicker crust is supposed to truncate at 12th power.
文章引用：肖翼忻, 霍学深, 申文斌. 三维各向异性重力正演模型的高阶展开项评估[J]. 地球科学前沿, 2018, 8(3): 500-512. https://doi.org/10.12677/AG.2018.83054

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